x^2+(7/2)x=-(3/2)

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Solution for x^2+(7/2)x=-(3/2) equation: 


x in (-oo:+oo)

x^2+(7/2)*x = -(3/2) // + 3/2

x^2+(7/2)*x+3/2 = 0

x^2+7/2*x+3/2 = 0

DELTA = (7/2)^2-(1*3/2*4)

DELTA = 25/4

DELTA > 0

x = ((25/4)^(1/2)-7/2)/(1*2) or x = (-(25/4)^(1/2)-7/2)/(1*2)

x = -1/2 or x = -3

x in { -3, -1/2 }

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